6533b854fe1ef96bd12ae94b
RESEARCH PRODUCT
Convergence-theoretic characterizations of compactness
Szymon Doleckisubject
Discrete mathematicsCompactnessFiber (mathematics)PretopologyInverseMathematics::General TopologyPseudotopologyPerfect mapQuotient mapPerfect mapCompact spaceConvergence (routing)Geometry and TopologyConvergenceEquivalence classQuotientMathematicsdescription
AbstractFundamental variants of compactness are characterized in terms of concretely reflective convergence subcategories: topologies, pretopologies, paratopologies, hypotopologies and pseudotopologies. Hyperquotient maps (perfect, quasi-perfect, adherent and closed) and quotient maps (quotient, hereditarily quotient, countably biquotient, biquotient, and almost open) are characterized in terms of various degrees of compactness of their fiber relations, and of sundry relaxations of inverse continuity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-11-01 | Topology and its Applications |